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\left(\frac{1}{4}\times 3^{-1}\right)^{-3}
Calculate 2 to the power of -2 and get \frac{1}{4}.
\left(\frac{1}{4}\times \frac{1}{3}\right)^{-3}
Calculate 3 to the power of -1 and get \frac{1}{3}.
\left(\frac{1}{12}\right)^{-3}
Multiply \frac{1}{4} and \frac{1}{3} to get \frac{1}{12}.
1728
Calculate \frac{1}{12} to the power of -3 and get 1728.